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paper

Shape invariance approach to exact solutions of the Klein-Gordon equation

arXiv:quant-ph/0609115 · doi:10.1016/j.physleta.2006.09.032

Abstract

Using the shape invariance property we obtain exact solutions of the (1+1)dimensional Klein-Gordon equation for certain types of scalar and vector potentials. We also discuss the possibility of obtaining real energy spectrum with non-Hermitian interaction within this framework.